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116215880320 = 2751912137879
BaseRepresentation
bin110110000111100000…
…0011001101010000000
3102002222021200102011201
41230033000121222000
53401002231132240
6125215553350544
711252636453341
oct1541700315200
9362867612151
10116215880320
114531791aa91
121a634568454
13ac612201b7
1458a694a0c8
153052b74d9a
hex1b0f019a80

116215880320 has 128 divisors (see below), whose sum is σ = 292729392000. Its totient is φ = 43997810688.

The previous prime is 116215880311. The next prime is 116215880357. The reversal of 116215880320 is 23088512611.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1162158803202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 116215880320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14746141 + ... + 14754019.

It is an arithmetic number, because the mean of its divisors is an integer number (2286948375).

Almost surely, 2116215880320 is an apocalyptic number.

116215880320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116215880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146364696000).

116215880320 is an abundant number, since it is smaller than the sum of its proper divisors (176513511680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

116215880320 is a wasteful number, since it uses less digits than its factorization.

116215880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9130 (or 9118 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The spelling of 116215880320 in words is "one hundred sixteen billion, two hundred fifteen million, eight hundred eighty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 1213 1216 1520 2426 2432 3040 4852 6065 6080 7879 9704 12130 12160 15758 19408 23047 24260 31516 38816 39395 46094 48520 63032 77632 78790 92188 97040 115235 126064 149701 155264 157580 184376 194080 230470 252128 299402 315160 368752 388160 460940 504256 598804 630320 737504 748505 776320 921880 1008512 1197608 1260640 1475008 1497010 1843760 2395216 2521280 2950016 2994020 3687520 4790432 5042560 5988040 7375040 9557227 9580864 11976080 14750080 19114454 19161728 23952160 38228908 47786135 47904320 76457816 95572270 95808640 152915632 181587313 191144540 305831264 363174626 382289080 611662528 726349252 764578160 907936565 1223325056 1452698504 1529156320 1815873130 2905397008 3058312640 3631746260 5810794016 6116625280 7263492520 11621588032 14526985040 23243176064 29053970080 58107940160 116215880320